All categories

3 years ago

Line with a slope 6 passes through the points (2,-10) and (5,g)

Mathematics

1 answer:

Irina-Kira [14]3 years ago

4 0

Answer:

8 =g

Step-by-step explanation:

We have two points so we can use the slope formula

m = ( y2 -y1)/(x2-x1)

6 = ( g - -10)/(5-2)

6 = (g+10)/(5-2)

6 = (g+10)/3

Multiply each side by 3

6*3 = g+10

18 = g+10

Subtract 10

18-10 =g

8 =g

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What the equation parallel to y=-1/5x +7 and containing the point(-10,-3)

Agata [3.3K]

The equation of line parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3) is $y=-\frac{1}{5}x-5$

Step-by-step explanation:

We need to write the equation parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3)

The standard form of point slope equation is:

$y=mx+b$

where m is slope and b is y-intercept

Comparing the given equation $y=-\frac{1}{5} x +7$ with standard form the slope is m= -1/5

Since the lines are parallel the slope of new line is m = -1/5

Now finding b (y-intercept)

Using slope m=-1/5 and point (-10,-3)

$y=mx+b\\-3=-\frac{1}{5}(-10)+b\\-3=2+b\\b=-3-2\\b=-5$

So, b= -5 and slope = -1/5 the equation of new line is:

$y = mx+b\\y=-\frac{1}{5}x-5$

So, The equation of line parallel to $y=-\frac{1}{5} x +7$ and containing the point(-10,-3) is $y=-\frac{1}{5}x-5$

Keywords: Point Slope form

Learn more about point slope form at:

#learnwithBrainly

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3 years ago

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3 years ago

If a muffin costs 7¢, how much will 3 muffins cost?

Goshia [24]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

In 1979, there were 2.4 million licensed registered nurses in a country. This number increased to 3.6 million in 2012. What is t

Dennis_Churaev [7]

Answer:

It is a 50% increase

Step-by-step explanation:

2.4 million /2 = 1.2 million

2.4m + 1.2m = 3.6m

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it is a +50% increase to get from 2.4 to 3.6

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3 years ago

What is the LCM of 8 and 10

iragen [17]

40

8x5=40
10x4=40

Hope this helps

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2 years ago